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Finding the Fourth Proportional to 181,104.80, 271,916.40 and 102,372.80

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Solution

The fourth proportional to 181,104.80, 271,916.40 and 102,372.80 is: 153,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,104.80 : 271,916.40 = 102,372.80 : x
  2. Step 2: Convert to fraction form
    181,104.80/271,916.40 = 102,372.80/x
  3. Step 3: Cross multiply
    181,104.80x = 271,916.40 × 102,372.80
  4. Step 4: Simplify right side
    181,104.80x = 27,836,843,233.92
  5. Step 5: Solve for x
    x = 27,836,843,233.92/181,104.80
  6. Step 6: Final answer
    x = 153,705.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.